Use of spline expansions and regularization in the unfolding of data from spaceborne sensors

Thornton R. Fisher; Joseph D. Perez

doi:10.1117/12.44532

1 August 1991 Use of spline expansions and regularization in the unfolding of data from spaceborne sensors

Thornton R. Fisher, Joseph D. Perez

Proceedings Volume 1479, Surveillance Technologies; (1991) https://doi.org/10.1117/12.44532
Event: Orlando '91, 1991, Orlando, FL, United States

Abstract

In the analysis of data from spaceborne sensors, the problem frequently arises of determining the best estimate to a continuous spectrum based on a set of noisy data samples taken with broad, overlapping response functions. Examples of such data sets are the data from a retarding potential analyzer (RPA), or a set of line intensities from a solar x-ray spectrum which are to be used to estimate the Differential Emission Measure (DEM). Various approaches often suffer from such difficulties as ill-conditioned matrices, spurious structure, and non-physical negative values in the solution. This paper presents results from a smoothing spline approach, in which the spectrum is expanded in a space of cubic B-spline functions and the coefficients of the expansion are determined by regularization. The technique is first applied to model data which incorporate the general features of the RPA and DEM problems. An example is then given of a fit to data from the Retarding Ion Mass Spectrograph (RIMS) on the Dynamics Explorer 1 (DE-1) satellite.

Citation Download Citation

Thornton R. Fisher and Joseph D. Perez "Use of spline expansions and regularization in the unfolding of data from spaceborne sensors", Proc. SPIE 1479, Surveillance Technologies, (1 August 1991); https://doi.org/10.1117/12.44532

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available